TSTP Solution File: LCL055-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL055-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:40:49 EDT 2009
% Result : Unsatisfiable 249.8s
% Output : Refutation 249.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 61 ( 35 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 162 ( 48 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),
[] ).
cnf(171501240,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),
[] ).
cnf(171510152,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(179297608,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[171501240,171510152]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),
[] ).
cnf(171514064,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(179408504,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[171501240,171514064]),
[] ).
fof(cn_1,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),
[] ).
cnf(171506128,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(180448872,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[179408504,171506128]),
[] ).
cnf(186696520,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[180448872,171501240]),
[] ).
cnf(186715720,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))
| is_a_theorem(D) ),
inference(resolution,[status(thm)],[180448872,171501240]),
[] ).
cnf(179455928,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[171501240,171506128]),
[] ).
cnf(181139576,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[179455928,171506128]),
[] ).
cnf(192990328,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[186715720,181139576]),
[] ).
cnf(193312144,plain,
is_a_theorem(implies(A,implies(B,implies(not(A),C)))),
inference(resolution,[status(thm)],[186696520,192990328]),
[] ).
cnf(193592216,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,implies(not(A),C))) ),
inference(resolution,[status(thm)],[171501240,193312144]),
[] ).
cnf(179317160,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[171501240,171510152]),
[] ).
cnf(181172464,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[179455928,179317160]),
[] ).
cnf(237206952,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[193592216,181172464]),
[] ).
cnf(237571952,plain,
( is_a_theorem(implies(A,implies(B,C)))
| ~ is_a_theorem(implies(B,implies(not(C),C))) ),
inference(resolution,[status(thm)],[237206952,181172464]),
[] ).
cnf(209319000,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[181172464,179455928]),
[] ).
cnf(193675752,plain,
is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B))),
inference(resolution,[status(thm)],[179455928,193312144]),
[] ).
cnf(217645944,plain,
( ~ is_a_theorem(implies(implies(C,implies(not(A),D)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[171501240,193675752]),
[] ).
cnf(192649672,plain,
( ~ is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[171501240,181139576]),
[] ).
cnf(180092224,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[179317160,171506128]),
[] ).
cnf(182825120,plain,
is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))),
inference(resolution,[status(thm)],[180092224,179455928]),
[] ).
cnf(196250352,plain,
( ~ is_a_theorem(implies(implies(implies(not(A),A),B),C))
| is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[171501240,182825120]),
[] ).
cnf(186748232,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[180448872,179317160]),
[] ).
cnf(179389264,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[171501240,171514064]),
[] ).
cnf(187087640,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[186748232,179389264]),
[] ).
cnf(187625360,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[187087640,179455928]),
[] ).
cnf(189786944,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[186696520,187625360]),
[] ).
cnf(189884136,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[179455928,189786944]),
[] ).
cnf(204414320,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[196250352,189884136]),
[] ).
cnf(205023024,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[171501240,204414320]),
[] ).
cnf(205269064,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[205023024,180092224]),
[] ).
cnf(205860720,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[179455928,205269064]),
[] ).
cnf(248367312,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[192649672,205860720]),
[] ).
cnf(402586800,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[217645944,248367312]),
[] ).
cnf(406557288,plain,
is_a_theorem(implies(implies(implies(C,A),B),implies(A,B))),
inference(resolution,[status(thm)],[209319000,402586800]),
[] ).
cnf(415777576,plain,
( ~ is_a_theorem(implies(implies(C,A),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[171501240,406557288]),
[] ).
cnf(193235096,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[179455928,192990328]),
[] ).
cnf(283886736,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,C)),A))
| is_a_theorem(implies(implies(D,not(B)),A)) ),
inference(resolution,[status(thm)],[171501240,193235096]),
[] ).
cnf(403426800,plain,
is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[283886736,248367312]),
[] ).
cnf(596144840,plain,
is_a_theorem(implies(not(A),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[415777576,403426800]),
[] ).
cnf(598705016,plain,
is_a_theorem(implies(A,implies(not(B),implies(B,C)))),
inference(resolution,[status(thm)],[237571952,596144840]),
[] ).
cnf(599363280,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(resolution,[status(thm)],[179297608,598705016]),
[] ).
cnf(600886552,plain,
( ~ is_a_theorem(implies(implies(not(B),implies(B,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[171501240,599363280]),
[] ).
cnf(205046176,plain,
( ~ is_a_theorem(implies(implies(implies(implies(D,D),B),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[171501240,204414320]),
[] ).
cnf(205437896,plain,
is_a_theorem(implies(implies(C,B),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[205046176,181139576]),
[] ).
cnf(206422400,plain,
( ~ is_a_theorem(implies(implies(implies(D,C),implies(B,implies(D,C))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[171501240,205437896]),
[] ).
cnf(207071648,plain,
is_a_theorem(implies(implies(B,C),implies(A,implies(implies(C,D),implies(B,D))))),
inference(resolution,[status(thm)],[206422400,181139576]),
[] ).
cnf(601608104,plain,
is_a_theorem(implies(C,implies(implies(implies(A,B),D),implies(not(A),D)))),
inference(resolution,[status(thm)],[600886552,207071648]),
[] ).
cnf(181208816,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(A,implies(not(B),C))) ),
inference(resolution,[status(thm)],[179455928,179408504]),
[] ).
cnf(179507688,plain,
( is_a_theorem(A)
| ~ is_a_theorem(implies(not(implies(not(A),A)),implies(not(A),A))) ),
inference(resolution,[status(thm)],[179297608,179297608]),
[] ).
cnf(210237008,plain,
( ~ is_a_theorem(implies(not(implies(not(A),A)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[181208816,179507688]),
[] ).
fof(prove_cn_37,plain,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),
[] ).
cnf(171521960,plain,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
inference(rewrite,[status(thm)],[prove_cn_37]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[601608104,210237008,171521960]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 249 seconds
% START OF PROOF SEQUENCE
% fof(condensed_detachment,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),[]).
%
% cnf(171501240,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),[]).
%
% cnf(171510152,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(179297608,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[171501240,171510152]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),[]).
%
% cnf(171514064,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(179408504,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[171501240,171514064]),[]).
%
% fof(cn_1,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),[]).
%
% cnf(171506128,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(180448872,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[179408504,171506128]),[]).
%
% cnf(186696520,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[180448872,171501240]),[]).
%
% cnf(186715720,plain,(~is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))|is_a_theorem(D)),inference(resolution,[status(thm)],[180448872,171501240]),[]).
%
% cnf(179455928,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[171501240,171506128]),[]).
%
% cnf(181139576,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[179455928,171506128]),[]).
%
% cnf(192990328,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[186715720,181139576]),[]).
%
% cnf(193312144,plain,(is_a_theorem(implies(A,implies(B,implies(not(A),C))))),inference(resolution,[status(thm)],[186696520,192990328]),[]).
%
% cnf(193592216,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,implies(not(A),C)))),inference(resolution,[status(thm)],[171501240,193312144]),[]).
%
% cnf(179317160,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[171501240,171510152]),[]).
%
% cnf(181172464,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[179455928,179317160]),[]).
%
% cnf(237206952,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[193592216,181172464]),[]).
%
% cnf(237571952,plain,(is_a_theorem(implies(A,implies(B,C)))|~is_a_theorem(implies(B,implies(not(C),C)))),inference(resolution,[status(thm)],[237206952,181172464]),[]).
%
% cnf(209319000,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[181172464,179455928]),[]).
%
% cnf(193675752,plain,(is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B)))),inference(resolution,[status(thm)],[179455928,193312144]),[]).
%
% cnf(217645944,plain,(~is_a_theorem(implies(implies(C,implies(not(A),D)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[171501240,193675752]),[]).
%
% cnf(192649672,plain,(~is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[171501240,181139576]),[]).
%
% cnf(180092224,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[179317160,171506128]),[]).
%
% cnf(182825120,plain,(is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C)))),inference(resolution,[status(thm)],[180092224,179455928]),[]).
%
% cnf(196250352,plain,(~is_a_theorem(implies(implies(implies(not(A),A),B),C))|is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[171501240,182825120]),[]).
%
% cnf(186748232,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[180448872,179317160]),[]).
%
% cnf(179389264,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[171501240,171514064]),[]).
%
% cnf(187087640,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[186748232,179389264]),[]).
%
% cnf(187625360,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[187087640,179455928]),[]).
%
% cnf(189786944,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[186696520,187625360]),[]).
%
% cnf(189884136,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[179455928,189786944]),[]).
%
% cnf(204414320,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[196250352,189884136]),[]).
%
% cnf(205023024,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[171501240,204414320]),[]).
%
% cnf(205269064,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[205023024,180092224]),[]).
%
% cnf(205860720,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[179455928,205269064]),[]).
%
% cnf(248367312,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[192649672,205860720]),[]).
%
% cnf(402586800,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[217645944,248367312]),[]).
%
% cnf(406557288,plain,(is_a_theorem(implies(implies(implies(C,A),B),implies(A,B)))),inference(resolution,[status(thm)],[209319000,402586800]),[]).
%
% cnf(415777576,plain,(~is_a_theorem(implies(implies(C,A),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[171501240,406557288]),[]).
%
% cnf(193235096,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[179455928,192990328]),[]).
%
% cnf(283886736,plain,(~is_a_theorem(implies(implies(B,implies(D,C)),A))|is_a_theorem(implies(implies(D,not(B)),A))),inference(resolution,[status(thm)],[171501240,193235096]),[]).
%
% cnf(403426800,plain,(is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[283886736,248367312]),[]).
%
% cnf(596144840,plain,(is_a_theorem(implies(not(A),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[415777576,403426800]),[]).
%
% cnf(598705016,plain,(is_a_theorem(implies(A,implies(not(B),implies(B,C))))),inference(resolution,[status(thm)],[237571952,596144840]),[]).
%
% cnf(599363280,plain,(is_a_theorem(implies(not(A),implies(A,B)))),inference(resolution,[status(thm)],[179297608,598705016]),[]).
%
% cnf(600886552,plain,(~is_a_theorem(implies(implies(not(B),implies(B,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[171501240,599363280]),[]).
%
% cnf(205046176,plain,(~is_a_theorem(implies(implies(implies(implies(D,D),B),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[171501240,204414320]),[]).
%
% cnf(205437896,plain,(is_a_theorem(implies(implies(C,B),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[205046176,181139576]),[]).
%
% cnf(206422400,plain,(~is_a_theorem(implies(implies(implies(D,C),implies(B,implies(D,C))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[171501240,205437896]),[]).
%
% cnf(207071648,plain,(is_a_theorem(implies(implies(B,C),implies(A,implies(implies(C,D),implies(B,D)))))),inference(resolution,[status(thm)],[206422400,181139576]),[]).
%
% cnf(601608104,plain,(is_a_theorem(implies(C,implies(implies(implies(A,B),D),implies(not(A),D))))),inference(resolution,[status(thm)],[600886552,207071648]),[]).
%
% cnf(181208816,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(A,implies(not(B),C)))),inference(resolution,[status(thm)],[179455928,179408504]),[]).
%
% cnf(179507688,plain,(is_a_theorem(A)|~is_a_theorem(implies(not(implies(not(A),A)),implies(not(A),A)))),inference(resolution,[status(thm)],[179297608,179297608]),[]).
%
% cnf(210237008,plain,(~is_a_theorem(implies(not(implies(not(A),A)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[181208816,179507688]),[]).
%
% fof(prove_cn_37,plain,(~is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL055-1.tptp',unknown),[]).
%
% cnf(171521960,plain,(~is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c)))),inference(rewrite,[status(thm)],[prove_cn_37]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[601608104,210237008,171521960]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------